Question

$\sqrt{8}$

Explanation:

Step1: Factor the radicand

We can factor 8 as \( 4\times2 \), so \( \sqrt{8}=\sqrt{4\times2} \).

Step2: Use the property of square roots

Using the property \( \sqrt{ab}=\sqrt{a}\times\sqrt{b} \) (where \( a\geq0 \) and \( b\geq0 \)), we get \( \sqrt{4\times2}=\sqrt{4}\times\sqrt{2} \).

Step3: Simplify \( \sqrt{4} \)

Since \( \sqrt{4} = 2 \), then \( \sqrt{4}\times\sqrt{2}=2\sqrt{2} \).

Answer:

\( 2\sqrt{2} \)